Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene

Kavli Affiliate: Gang Su | First 5 Authors: Ze Liu, Zhi-Fan Zhang, Zhen-Gang Zhu, Gang Su, | Summary: The geometric properties of parameter space are mostly described by Berry curvature and quantum metric, which is the imaginary and real part of quantum geometric tensor, respectively. In this work, we calculate the dressed Berry curvature and […]


Continue.. Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene

Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene

Kavli Affiliate: Gang Su | First 5 Authors: Ze Liu, Zhi-Fan Zhang, Zhen-Gang Zhu, Gang Su, | Summary: The geometric properties of parameter space are mostly described by Berry curvature and quantum metric, which are the imaginary and real part of quantum geometric tensor, respectively. In this work, we calculate the dressed Berry curvature and […]


Continue.. Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene

End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver

Kavli Affiliate: Yi Zhou | First 5 Authors: Shaocong Ma, James Diffenderfer, Bhavya Kailkhura, Yi Zhou, | Summary: Deep learning has been widely applied to solve partial differential equations (PDEs) in computational fluid dynamics. Recent research proposed a PDE correction framework that leverages deep learning to correct the solution obtained by a PDE solver on […]


Continue.. End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver

End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver

Kavli Affiliate: Yi Zhou | First 5 Authors: Shaocong Ma, James Diffenderfer, Bhavya Kailkhura, Yi Zhou, | Summary: Deep learning has been widely applied to solve partial differential equations (PDEs) in computational fluid dynamics. Recent research proposed a PDE correction framework that leverages deep learning to correct the solution obtained by a PDE solver on […]


Continue.. End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver

Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Kavli Affiliate: Yi Zhou | First 5 Authors: Taojun Hu, Yi Zhou, Sattoshi Hattori, , | Summary: Meta-analysis is a powerful tool to synthesize findings from multiple studies. The normal-normal random-effects model is widely used accounting for between-study heterogeneity. However, meta-analysis of sparse data, which may arise when the event rate is low for binary […]


Continue.. Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Kavli Affiliate: Yi Zhou | First 5 Authors: Taojun Hu, Yi Zhou, Satoshi Hattori, , | Summary: Meta-analysis is a powerful tool to synthesize findings from multiple studies. The normal-normal random-effects model is widely used to account for between-study heterogeneity. However, meta-analysis of sparse data, which may arise when the event rate is low for […]


Continue.. Sensitivity analysis for publication bias in meta-analysis of sparse data based on exact likelihood

Magneto-Induced Topological Phase Transition in Inverted InAs/GaSb Bilayers

Kavli Affiliate: Long Zhang | First 5 Authors: Zhongdong Han, Tingxin Li, Long Zhang, Rui-Rui Du, | Summary: We report a magneto-induced topological phase transition in inverted InAs/GaSb bilayers from a quantum spin Hall insulator to a normal insulator. We utilize a dual-gated Corbino device in which the degree of band inversion, or equivalently the […]


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Structural, magnetic and magnetocaloric properties of triangular-lattice transition-metal phosphates

Kavli Affiliate: Gang Su | First 5 Authors: Chuandi Zhang, Junsen Xiang, Quanliang Zhu, Longfei Wu, Shanfeng Zhang | Summary: The recent discovery of the spin supersolid candidate Na$_2$BaCo(PO$_4$)$_2$ stimulates numerous research interest on the triangular-lattice transition-metal phosphates. Here we report a comprehensive study on the structural, magnetic and magnetocaloric properties of polycrystalline Na$_2$$A$$T$(PO$_4$)$_2$ ($A$ […]


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Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance

Kavli Affiliate: Yi Zhou | First 5 Authors: Qi Zhang, Yi Zhou, Shaofeng Zou, , | Summary: This paper provides the first tight convergence analyses for RMSProp and Adam in non-convex optimization under the most relaxed assumptions of coordinate-wise generalized smoothness and affine noise variance. We first analyze RMSProp, which is a special case of […]


Continue.. Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance

Large-Scale Non-convex Stochastic Constrained Distributionally Robust Optimization

Kavli Affiliate: Yi Zhou | First 5 Authors: Qi Zhang, Yi Zhou, Ashley Prater-Bennette, Lixin Shen, Shaofeng Zou | Summary: Distributionally robust optimization (DRO) is a powerful framework for training robust models against data distribution shifts. This paper focuses on constrained DRO, which has an explicit characterization of the robustness level. Existing studies on constrained […]


Continue.. Large-Scale Non-convex Stochastic Constrained Distributionally Robust Optimization